Greatest Common Factor of 10/675, 16/879, 536/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/675, 16/879, 536/285

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 10/675,16/879,536/285

Given fractions are 10/675,16/879,536/285

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 10,16,536

Greatest Common Factor of Numerators i.e. GCF of 10,16,536 is 2 .

LCM of Denominators means LCM of 675,879,285 as per the given fractions.

LCM of 675,879,285 is 3757725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,16,536

GCF of Fractions 10/675,16/879,536/285 is 2/3757725

2 10, 16, 536
5, 8, 268

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,16,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,16,536 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 10,16,536 . The biggest common factor number is the GCF number.
So the greatest common factor 10,16,536 is 2.

Lets's calculate LCM of 675,879,285

3 675, 879, 285
5 225, 293, 95
45, 293, 19

∴ So the LCM of the given numbers is 3 x 5 x 45 x 293 x 19 = 3757725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3757725

Therefore, the GCF of Fractions 10/675,16/879,536/285 is 2/3757725

Least Common Multiple of 675,879,285 with GCF Formula

Least Common Multiple of 675,879,285 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 675,879,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,879,285) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(675,879,285) x common factors =3 x 15 = 45

LCM(675,879,285) = ( 675 × 879 × 285 ) / 45

LCM(675,879,285) = 169097625 / 45

LCM(675,879,285) = 3757725


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 10/675, 16/879, 536/285

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 10/675, 16/879, 536/285?

Answer: GCF of Numerators as per given numbers 10/675, 16/879, 536/285 is

GCF of Numerators i.e. for 10,16,536 is 2

LCM of denominators i.e. for 675,879,285 is 3757725.

Thus, GCF of Fractions is 2/3757725.Finally, GCF of Fractions for 10/675, 16/879, 536/285 is 2/3757725.